Answer:
Explanation:
Angular momentum ( L ) = moment of inertia x angular velocity ( I X ω )
Moment of inertia of two 480 g masses about axle = 2 x mr² = 2 x 480 x10⁻³ x( 24 x 10 ⁻ 2 )² = 0. 552960 kg m².
Angular velocity = 5 rad / s.
Angular momentum = 0.552960 x 5 = 2.765 kg m2.
The direction of angular momentum will be along axle.So vector angular
momentum makes zero degree with axle.
The component of the total angular momentum and the angle the vector angular momentum makes with the axle is mathematically given as
a) L= 2.765 kg m^2
b) [tex]\theta =0 \textdegree[/tex]
Question Parameters:
Generally, the equation for the Angular momentum is mathematically given as
Angular momentum = moment of inertia x angular velocity
Therefore
L=i*w
Where Moment of inertia is
i= 2 x mr^2
i= 2 x 480 x10^{-3} x( 24 x 10 ⁻ 2 )^2
i= 0. 552960 kg m^2.
Therefore
L= i*w
L = 0.552960 x 5
L= 2.765 kg m^2
In conclusion, Due to the fact that the angular momentum won't change direction but maintain its movement along the axle the angle the vector angular momentum makes will be zero.
[tex]\theta =0[/tex]
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